Srednje vrednosti multiplikativnih aritmetičkih funkcija više promenljivih zavisnih od NZD i NZS argumenata

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Srednje vrednosti multiplikativnih aritmetičkih funkcija više promenljivih zavisnih od NZD i NZS argumenata

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dc.contributor.advisor Đanković, Goran
dc.contributor.author Algali, Khola
dc.date.accessioned 2019-12-25T17:13:12Z
dc.date.available 2019-12-25T17:13:12Z
dc.date.issued 2019
dc.identifier.uri http://hdl.handle.net/123456789/4820
dc.description.abstract In this thesis we give some new asymptotic formulas for mean values of multiplicative functions of several variables depending on GCD and LCM of arguments. We obtain an asymptotic formula with a power saving error term for the summation function of a family of generalized least common multiple and greatest common divisor functions of several integer variables. Xn 1,...,nk+`≤x [n1,...,nk]a (n1,...,nk)c , [nk+1,...,nk+`]b (nk+1,...,nk+`)d = Ck,a,c;`,b,d (a + 1)k(b + 1)` xk(a+1)+`(b+1) + O xk(a+1)+`(b+1)−1 2+ and Xn 1,...,nk+`≤x [n1,...,nk]a (n1,...,nk)c , [nk+1,...,nk+`]b (nk+1,...,nk+`)d (n1 ...nk)a(nk+1 ...nk+`)b = Ck,a,c;`,b,d xk+` + O xk+`−1 2+ . Also we obtain an asymptotic formula with a power saving error term for the summation function of Euler phi-function evaluated at iterated and generalized least common multiples of four integer variables. Xn 1,n2,n3,n4≤x ϕ [n1,n2]a (n1,n2)c , [n3,n4]b (n3,n4)d = Ca,c;b,d (a + 1)2(b + 1)2 x2a+2b+4 + O x2a+2b+7 2+ . en_US
dc.description.provenance Submitted by Slavisha Milisavljevic (slavisha) on 2019-12-25T17:13:12Z No. of bitstreams: 1 khola_phd_new_ver.pdf: 665466 bytes, checksum: c08fa4ca17407a3775931777d769f734 (MD5) en
dc.description.provenance Made available in DSpace on 2019-12-25T17:13:12Z (GMT). No. of bitstreams: 1 khola_phd_new_ver.pdf: 665466 bytes, checksum: c08fa4ca17407a3775931777d769f734 (MD5) Previous issue date: 2019 en
dc.language.iso en en_US
dc.publisher Beograd en_US
dc.title Srednje vrednosti multiplikativnih aritmetičkih funkcija više promenljivih zavisnih od NZD i NZS argumenata en_US
mf.contributor.committee Petrović, Zoran
mf.contributor.committee Radovanović, Marko
mf.contributor.committee Pucanović, Zoran
mf.university.faculty Mathematical faculty en_US
mf.document.references 32 en_US
mf.document.pages 67 en_US
mf.document.location Beograd en_US
mf.document.genealogy-project No en_US
mf.university Belgrade University en_US

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